{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Mean-Variance Optimization\n",
    "\n",
    "In this notebook I implement the classical **mean-variance optimization** (MVO) algorithm that finds the optimal weights of a portfolio.     \n",
    "For a theoretical background see [modern portfolio theory](https://en.wikipedia.org/wiki/Modern_portfolio_theory).\n",
    "\n",
    "\n",
    "## Contents\n",
    "   - [Loading data and parameter definition](#sec1) \n",
    "   - [Some mathematics](#sec2)\n",
    "   - [Optimization with scipy.optimize](#sec3)\n",
    "     - [Optimize the Sharpe ratio](#sec3.1)\n",
    "     - [Optimal weights between stocks and bond](#sec3.2)\n",
    "   - [Optimization with cvxpy](#sec4) \n",
    "   - [Probability density of the tangency portfolio](#sec5) \n",
    "   - [Short positions - closed formula](#sec6) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import cvxpy as cp\n",
    "import scipy.stats as ss\n",
    "import seaborn as sns\n",
    "import warnings\n",
    "from scipy.optimize import Bounds, LinearConstraint, minimize\n",
    "from IPython.display import display\n",
    "from FMNM.portfolio_optimization import optimal_weights"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id='sec1'></a>\n",
    "## Loading data and parameter definition\n",
    "\n",
    "In the following I define the investment horizon of **1 month** and the risk free monthly return **Rf**.    \n",
    "I also load the time series of daily prices from *filename*, and print the names of the stocks considered in the analysis. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "filename = \"data/stocks_data.csv\"\n",
    "investment_horizon = 252 / 12  # 252 days / 12 months = 1 month\n",
    "Rf = 0.01 / 12  # annual rate / 12 months"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "There are NO NaNs\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>AAPL</th>\n",
       "      <th>AMZN</th>\n",
       "      <th>GOOGL</th>\n",
       "      <th>JPM</th>\n",
       "      <th>GLD</th>\n",
       "      <th>DIS</th>\n",
       "      <th>VNO</th>\n",
       "      <th>FB</th>\n",
       "      <th>UBS</th>\n",
       "      <th>KO</th>\n",
       "      <th>MCD</th>\n",
       "      <th>^GSPC</th>\n",
       "      <th>GM</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "Empty DataFrame\n",
       "Columns: [AAPL, AMZN, GOOGL, JPM, GLD, DIS, VNO, FB, UBS, KO, MCD, ^GSPC, GM]\n",
       "Index: []"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data = pd.read_csv(filename, index_col=\"Date\", parse_dates=True)\n",
    "stocks = data.columns\n",
    "N = len(stocks)\n",
    "print(\"There are NaNs\") if data.isna().any(axis=1).any(axis=0) else print(\"There are NO NaNs\")\n",
    "pd.DataFrame(columns=stocks)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Since the number of stocks is small, it could be useful to plot the normalized time series and the correlation matrix of the log-returns."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "log_ret = np.log(data / data.shift())[1:]  # compute log-returns"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### plots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1600x600 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(16, 6))\n",
    "ax1 = fig.add_subplot(121)\n",
    "ax2 = fig.add_subplot(122)\n",
    "for stk in stocks:\n",
    "    ax1.plot(data[stk] / data[stk][0], label=stk)\n",
    "ax1.legend()\n",
    "ax1.xaxis.set_tick_params(rotation=45)\n",
    "sns.heatmap(log_ret.corr(), annot=True, cmap=\"YlGnBu\", ax=ax2)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id='sec2'></a>\n",
    "## Some mathematics\n",
    "\n",
    "Let us indicate the stock price at time $t$ with $S_t$.     \n",
    "We can now recall some important definitions:\n",
    "\n",
    "#### Log returns\n",
    "\n",
    "$$ L_t := \\log \\frac{S_t}{S_{t-1}} $$\n",
    "\n",
    "#### Linear returns\n",
    "\n",
    "$$ R_t := \\frac{S_t - S_{t-1}}{S_{t-1}} = \\frac{S_t}{S_{t-1}} -1  $$\n",
    "\n",
    "There are two important properties to remember:\n",
    "\n",
    "1) Thanks to the properties of logarithms, for $t_0 = 0 < t_1 < ... < t_n = T$ we can write:\n",
    "\n",
    "$$ \n",
    "\\begin{aligned}\n",
    "L_T &= \\log \\frac{S_T}{S_{0}} \\\\\n",
    "&= \\log \\bigg( \\frac{S_{t_1}}{S_{t_0}} \\cdot \\frac{S_{t_2}}{S_{t_1}} \\cdot \\frac{S_{t_3}}{S_{t_2}} ....\\frac{S_{t_n}}{S_{t_{n-1}}} \\bigg) \\\\\n",
    "&= \\log \\frac{S_{t_1}}{S_{0}} + \\log \\frac{S_{t_2}}{S_{t_1}} + ... + \\log \\frac{S_{T}}{S_{t_{n-1}}} \\\\\n",
    "&= \\sum_{i=1}^n \\log \\frac{S_{t_{i}}}{S_{t_{i-1}}} = \\sum_{i=1}^n L_{t_i}. \n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "2) If we have a **portfolio** $P_t$ with $N$ stocks, we can prove that the linear return of the portfolio at time $t$ before rebalancing (with weights selected at time $t-1$) is:\n",
    "\n",
    "$$ R_t^P = \\sum_{i=1}^N w_{t-1}^i R_t^i $$\n",
    "\n",
    "Let us consider an investor with a total capital $C$ in cash at time $t=0$.     \n",
    "At time $t \\geq 0$ he decides to buy $\\alpha_t^i$ shares of the stock $S_t^i$. Of course the conditions \n",
    "\n",
    "$$ P_t = \\sum_{i=1}^N \\alpha_t^i \\, S_t^i \\quad \\text{and} \\quad P_0 = C $$\n",
    "\n",
    "must hold. It convenient to define the **relative weights** of the portfolio:\n",
    "\n",
    "$$ w_t^i := \\frac{\\alpha_t^i \\, S_t^i}{P_t} $$\n",
    "\n",
    "such that for each $t\\geq0$ \n",
    "\n",
    "$$ \\sum_{i=1}^N w_t^i = 1.$$     \n",
    "\n",
    "At this point it is easy to prove the initial expression:\n",
    "\n",
    "$$ \n",
    "\\begin{aligned}\n",
    "\\sum_{i=1}^N w^i_{t-1} R_t^i  &= \\sum_{i=1}^N  w_{t-1}^i \\biggl( \\frac{S^i_t}{S^i_{t-1}} -1 \\biggr)  \n",
    "= \\sum_{i=1}^N \\frac{\\alpha_{t-1}^i \\, S_{t-1}^i}{P_{t-1}} \\frac{S^i_t}{S^i_{t-1}} - 1 \\\\ \n",
    "&= \\frac{ \\sum_{i=1}^N \\alpha_{t-1}^i \\, S_{t}^i}{P_{t-1}} - 1 \\\\\n",
    "&= \\frac{P_t}{P_{t-1}} - 1 = R^P_t\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "where in $\\sum_{i=1}^N \\alpha_{t-1}^i \\, S_{t}^i = P_t$ the values $\\alpha_{t-1}^i$ are the number of shares selected at time $t-1$ i.e. before the rebalancing. \n",
    "\n",
    "### Why did I recall these formulas?\n",
    "\n",
    "Simply because\n",
    "\n",
    "$$ L_t^P \\neq \\sum_{i=1}^N w_{t-1}^i L_t^i \\quad \\text{and} \\quad R_T \\neq \\sum_{i=1}^n R_{t_i} $$\n",
    "\n",
    "therefore **DO NOT USE THEM** with the equal sign!! \n",
    "\n",
    "Ok... if the time interval is short...we can use the first order Taylor approximation of the logarithmic function\n",
    "$\\log(1+x) \\approx x$ such that:\n",
    "\n",
    "$$ L_t = \\log(1 + R_t )   = \\log(1+ \\frac{S_t-S_{0}}{S_{0}}) \\underset{t\\to 0}{\\approx} R_t  $$\n",
    "\n",
    "and linear returns are not so different from the log-returns.     \n",
    "But if we consider monthly or annual returns, the difference becomes significant!\n",
    "\n",
    "\n",
    "#### 1) We use log-returns to estimate the monthly mean and covariance matrix.\n",
    "\n",
    "We can assume that the daily log-returns of $S^i$ are i.i.d. with mean $\\mu^i$ and standard deviation $\\sigma^i$.      \n",
    "Later, we will also assume that the log-returns are normally distributed, but the reality is that this assumption is wrong! \n",
    "If we try to test for normality using Shapiro-Wilk (here below), we can see that for each time series this assumption is rejacted.     \n",
    "Well, this is a well known fact. I didn't waste time writing my Lévy processes notebooks :) \n",
    "\n",
    "We can calculate the monthly mean and covariance matrix from the daily mean and covariance matrix:\n",
    "\n",
    "$$ \\mathbb{E}[L^j_T] = \\mathbb{E}\\biggl[\\sum_{i=1}^n L^j_{t_i}\\biggr] = \\sum_{i=1}^n \\mathbb{E}[L^j_{t_i}] = n \\mu^j $$\n",
    "\n",
    "$$ \n",
    "\\begin{aligned}\n",
    "\\text{COV}\\biggl[ L^j_T, L^k_T\\biggr] &= \\text{COV} \\biggl[ \\sum_{i=1}^n L^j_{t_i}, \\sum_{i=1}^n L^k_{t_i} \\biggr]  \\\\\n",
    "&= \\sum_{i=1}^n \\text{COV} \\biggl[ L^j_{t_i}, L^k_{t_i} \\biggr] = n\\, \\rho^{j,k} \\sigma^j \\sigma^k = n \\, \\Sigma^{j,k}\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "where I used the i.i.d. property of log-returns such that $\\text{COV} \\biggl[ L^j_{t_i}, L^k_{t_h} \\biggr] = 0 $ for $i\\neq h$.     \n",
    "The term $\\rho^{j,k}$ is the correlation coefficient between the daily log-returns $L^j$ and $L^k$, and $\\Sigma^{j,k}$ the daily covariance."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Normality test fails with log-returns. Pvalues:\n",
      " [4.249113268271071e-13, 1.0231917002556656e-07, 1.1263771626567401e-13, 4.623055004137136e-16, 2.722110210851003e-11, 1.9630867349301187e-16, 4.913086496815297e-16, 4.408671778338702e-12, 7.546176293023567e-16, 8.741717134777387e-15, 8.642707697237299e-23, 5.612456645324092e-20, 3.866022695660394e-14]\n"
     ]
    }
   ],
   "source": [
    "pvalues = []\n",
    "for stk in stocks:\n",
    "    pvalues.append(ss.shapiro(log_ret[stk]).pvalue)\n",
    "print(\"Normality test fails with log-returns. Pvalues:\\n\", pvalues)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 2) We use monthly linear returns to compute the monthly portfolio linear return.\n",
    "\n",
    "Once we obtained the monthly log-returns, we need to convert them into linear returns.\n",
    "For this purpose, we can assume that log-returns are normally distributed. It follows that the prices are log-normally distributed and linear returns as well: \n",
    "\n",
    "$$ R_t = e^{L_t} - 1 \\sim \\text{lognormal} $$\n",
    "\n",
    "The formulas for the mean and covariance of the multivariate distribution can be found on [wiki](https://en.wikipedia.org/wiki/Log-normal_distribution#Multivariate_log-normal).     \n",
    "Let us call $\\mu_T$ and $\\Sigma_T$ the mean and covariance of the monthly log-returns. The monthly linear returns have: \n",
    "\n",
    "$$ \\mathbb{E}[L^j_T] =   e^{\\mu_T + \\frac{1}{2} \\Sigma_T^{j,j} } - 1 $$\n",
    "\n",
    "$$ \n",
    "\\text{COV} \\biggl[ L^j_T, L^k_T\\biggr] = e^{\\mu_T^j + \\mu_T^k + \\frac{1}{2}(\\Sigma_T^{j,j} + \\Sigma_T^{k,k}) }\n",
    "\\biggl( e^{\\Sigma_T^{j,k}} - 1 \\biggr)\n",
    "$$\n",
    "\n",
    "This topic is also discussed in detail in [1] (see equation 6.162). "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# log-return monthly mean and covariance\n",
    "mu_log = investment_horizon * log_ret.mean().values\n",
    "cov_log = investment_horizon * log_ret.cov().values\n",
    "\n",
    "# linear return monthly mean and covariance\n",
    "MU = np.exp((mu_log + 0.5 * np.diag(cov_log))) - 1\n",
    "COV = np.diag(MU + 1) @ (np.exp(cov_log) - 1) @ np.diag(MU + 1)  # COV written in matrix form"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Variance of the portfolio\n",
    "\n",
    "The expected return of the portfolio is simply the weighted sum of the expected returns of each stock (here I use the subscript $i$ to simplify the notation)\n",
    "\n",
    "$$ \\mathbb{E}[ R^P ] = \\sum_{i=1}^N w_i \\, \\mathbb{E}[R_i]. $$\n",
    "\n",
    "But the variance involves all the covariance terms:\n",
    "\n",
    "$$ \\text{VAR}[ R^P ] = \\text{VAR}\\biggl[ \\sum_{i=1}^N w_i \\,R_i \\biggr] = \\sum_{i=1}^N w_i^2 \\, \\text{VAR}[R_i] + \\sum_{i,j=1\\\\ \\, i\\not=j}^N w_i w_j \\, \\text{COV}[R_i, R_j] . $$\n",
    "\n",
    "There are $N$ variance terms and $\\frac{N(N-1)}{2}$ covariance terms."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id='sec3'></a>\n",
    "# Optimization with scipy.optimize\n",
    "\n",
    "Let us write the optimization problem in matrix form.      \n",
    "Let $\\boldsymbol{\\mu}$ and $\\mathbf \\Sigma$ be the expected returns vector and the covariance matrix. Let $\\mathbf w$ be the vector of weights. With $\\mu^P$ I indicate the target portfolio return.      \n",
    "Then the optimization problem can be written as:\n",
    "\n",
    "$$  \\min_{\\mathbf w} \\; \\mathbf w^T \\mathbf \\Sigma \\, \\mathbf w \\quad \\text{subject to } \\quad \\boldsymbol \\mu^T \\mathbf w = \\mu^P, \\quad \\mathbf w^T \\mathbf 1 = 1 \\quad \\text{and} \\quad \\boldsymbol w \\geq 0. $$\n",
    "\n",
    "Here I use `scipy.optimize.minimize` to solve the optimization problem.   \n",
    "It can be useful to read the doc for the [Linear constraint](https://docs.scipy.org/doc/scipy/reference/generated/scipy.optimize.LinearConstraint.html).\n",
    "It is convenient to write the two linear equality constraints in a compact form: \n",
    "\n",
    "$$ \\begin{pmatrix} 1 & 1 & ... & 1 \\\\ \\mu_1 & \\mu_2 & ... & \\mu_N \\end{pmatrix} \\cdot \n",
    "\\begin{pmatrix} w_1 \\\\ w_2 \\\\ \\vdots \\\\ w_N \\end{pmatrix} =  \\bigg( \\begin{array}{c} 1 \\\\ \\mu^P \\end{array} \\bigg)\n",
    "$$\n",
    "\n",
    "The condition $\\boldsymbol w \\geq 0$ is for an investor that is not allowed to take short positions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "def optimizer(MU, COV, target_mu, OnlyLong=True):\n",
    "    \"\"\"Finds optimal weights for a fixed target portfolio return\"\"\"\n",
    "\n",
    "    N = len(MU)\n",
    "    if OnlyLong == True:\n",
    "        bounds = Bounds(0, 1)\n",
    "    A = np.vstack((np.ones(N), MU))\n",
    "    B = np.array([1, target_mu])\n",
    "    linear_constraint = LinearConstraint(A, B, B)\n",
    "\n",
    "    weights = np.ones(N)\n",
    "    x0 = weights / np.sum(weights)  # Create x0, the initial guess for the weights\n",
    "\n",
    "    # Define the objective function\n",
    "    quadratic_form = lambda w: (w.T @ COV @ w)\n",
    "    if OnlyLong:\n",
    "        res = minimize(quadratic_form, x0=x0, method=\"trust-constr\", constraints=linear_constraint, bounds=bounds)\n",
    "    else:\n",
    "        res = minimize(quadratic_form, x0=x0, method=\"trust-constr\", constraints=linear_constraint)\n",
    "    return res.x"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now I compute the optimal weights for several values of target expected return $\\mu^P$. With these weights we can compute the standard deviation $\\sigma^P$ of the corresponding portfolio.     \n",
    "The curve of all the points $(\\sigma^P,\\mu^P)$ is called **efficient frontier**.\n",
    "\n",
    "The Sharpe ratio is a performance measure defined as\n",
    "\n",
    "$$SR = \\frac{\\mu^P - Rf}{\\sigma^P}$$\n",
    "\n",
    "where $Rf$ is the risk free rate. The line with a slope equal to the maximum Sharpe ratio is called **capital market line** (CML).     \n",
    "The point on the efficient frontier with maximum Sharpe ratio is called **tangent portfolio**."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "samples = 200\n",
    "means = np.linspace(0, np.max(MU), samples)  # vector of target expected returns\n",
    "stds = np.zeros_like(means)\n",
    "sharpe_ratio = np.zeros_like(means)\n",
    "\n",
    "for i, mn in enumerate(means):\n",
    "    w_opt = optimizer(MU, COV, mn)  # optimal weights\n",
    "    stds[i] = np.sqrt(w_opt @ COV @ w_opt)\n",
    "    sharpe_ratio[i] = (mn - Rf) / stds[i]\n",
    "\n",
    "ind_SR = np.argmax(sharpe_ratio)  # index of the maximum Sharpe Ratio\n",
    "max_SR = sharpe_ratio[ind_SR]  # maximum Sharpe ratio\n",
    "\n",
    "y = np.linspace(0, stds.max(), samples)\n",
    "CML = Rf + max_SR * y  # capital market line"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(15, 5))\n",
    "plt.scatter(stds, means, linewidths=0.01, color=\"green\", label=\"Efficient Frontier\")\n",
    "for i in range(N):\n",
    "    plt.plot(cp.sqrt(COV[i, i]).value, MU[i], \"o\", color=\"goldenrod\")\n",
    "    plt.annotate(f\"{data.columns[i]}\", (cp.sqrt(COV[i, i]).value, MU[i]))\n",
    "plt.plot(y, CML, label=f\"Capital Market Line, sharpe ratio = {max_SR.round(4)}\")\n",
    "plt.plot(stds[ind_SR], means[ind_SR], \"rs\", label=\"tangent portfolio\")\n",
    "plt.legend(loc=\"upper left\")\n",
    "plt.xlabel(\"Standard deviation\")\n",
    "plt.ylabel(\"Return\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Weights for the tangent portfolio:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>AAPL</th>\n",
       "      <th>AMZN</th>\n",
       "      <th>GOOGL</th>\n",
       "      <th>JPM</th>\n",
       "      <th>GLD</th>\n",
       "      <th>DIS</th>\n",
       "      <th>VNO</th>\n",
       "      <th>FB</th>\n",
       "      <th>UBS</th>\n",
       "      <th>KO</th>\n",
       "      <th>MCD</th>\n",
       "      <th>^GSPC</th>\n",
       "      <th>GM</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.4856</td>\n",
       "      <td>0.0494</td>\n",
       "      <td>0.0002</td>\n",
       "      <td>0.0001</td>\n",
       "      <td>0.464</td>\n",
       "      <td>0.0002</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0001</td>\n",
       "      <td>0.0003</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0001</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     AAPL    AMZN   GOOGL     JPM    GLD     DIS  VNO      FB     UBS   KO  \\\n",
       "0  0.4856  0.0494  0.0002  0.0001  0.464  0.0002  0.0  0.0001  0.0003  0.0   \n",
       "\n",
       "   MCD  ^GSPC      GM  \n",
       "0  0.0    0.0  0.0001  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display(pd.DataFrame([dict(zip(data.columns, optimizer(MU, COV, means[ind_SR]).round(4)))]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id='sec3.1'></a>\n",
    "## Optimize the Sharpe ratio\n",
    "\n",
    "Most of the time, we are not interested in the efficient frontier, but we just want to find the tangent portfolio.\n",
    "An alternative is to maximize the Sharpe ratio i.e. solve the following problem:\n",
    "\n",
    "$$  \\max_{\\mathbf w} \\; \\frac{\\mathbf w^T \\boldsymbol \\mu - Rf }{ \\sqrt{\\mathbf w^T \\mathbf \\Sigma \\, \\mathbf w} } \\quad \\text{subject to } \\quad \\mathbf w^T \\mathbf 1 = 1 \\quad \\text{and} \\quad \\boldsymbol w \\geq 0. $$\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "weights = np.ones(N)\n",
    "x0 = weights / np.sum(weights)  # initial guess\n",
    "\n",
    "# Define the objective function (the negative Sharpe ratio)\n",
    "sharpe_fun = lambda w: -(MU @ w - Rf) / np.sqrt(w.T @ COV @ w)\n",
    "bounds = Bounds(0, 1)\n",
    "linear_constraint = LinearConstraint(np.ones(N, dtype=int), 1, 1)\n",
    "res = minimize(sharpe_fun, x0=x0, method=\"trust-constr\", constraints=linear_constraint, bounds=bounds)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "weights = \n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
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       "    .dataframe tbody tr th {\n",
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       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>AAPL</th>\n",
       "      <th>AMZN</th>\n",
       "      <th>GOOGL</th>\n",
       "      <th>JPM</th>\n",
       "      <th>GLD</th>\n",
       "      <th>DIS</th>\n",
       "      <th>VNO</th>\n",
       "      <th>FB</th>\n",
       "      <th>UBS</th>\n",
       "      <th>KO</th>\n",
       "      <th>MCD</th>\n",
       "      <th>^GSPC</th>\n",
       "      <th>GM</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.4879</td>\n",
       "      <td>0.0486</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.4635</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     AAPL    AMZN  GOOGL  JPM     GLD  DIS  VNO   FB  UBS   KO  MCD  ^GSPC  \\\n",
       "0  0.4879  0.0486    0.0  0.0  0.4635  0.0  0.0  0.0  0.0  0.0  0.0    0.0   \n",
       "\n",
       "    GM  \n",
       "0  0.0  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Max Sharpe ratio =  0.5609210027002335\n",
      "optimal portfolio at sigma= 0.07327567641496409 and mean=0.04193519922155284\n"
     ]
    }
   ],
   "source": [
    "w_sr = res.x\n",
    "print(\"weights = \")\n",
    "display(pd.DataFrame([dict(zip(data.columns, w_sr.round(4)))]))\n",
    "print(\"Max Sharpe ratio = \", -sharpe_fun(w_sr))\n",
    "print(\"optimal portfolio at sigma= {} and mean={}\".format(np.sqrt(w_sr @ COV @ w_sr), MU @ w_sr))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The weights are a bit different than before because here the maximum Sharpe ratio is more accurate. Before it was computed by grid search."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id='sec3.2'></a>\n",
    "### Optimal weights between stocks and bond\n",
    "\n",
    "Once we have computed the tangency portfolio, it is optimal to stay on the CML.      \n",
    "Let us call $R^P$ the return of a portfolio on the CML that allocates a fraction $w$ of the initial capital to the tangency portfolio (with return $R^T$) and $1-w$ to the risk-free asset $R_f$, i.e.\n",
    "\n",
    "$$ R^P = w R^T + (1-w) R_f = R_f + w (R^T-R_f) $$\n",
    "\n",
    "such that \n",
    "\n",
    "$$ \\mathbb{E}[R^P] = R_f + w (\\mathbb{E}[R^T] - R_f) \\quad \\text{and} \\quad  \n",
    "\\text{VAR}[R^P] = w^2 \\text{VAR}[R^T]. $$\n",
    "\n",
    "From these equations, given a desired level of expected return or variance, it is possible to calculate the optimal balance between the stocks portfolio (the tangency portfolio) and a risk free (a bond) asset.\n",
    "\n",
    "The following function does it. Let us give a value of expected return as input and see how it works:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "`gtol` termination condition is satisfied.\n",
      "\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "{'Sharpe Ratio': 0.5609210027002335,\n",
       " 'stock weights': array([0.4879, 0.0486, 0.    , 0.    , 0.4635, 0.    , 0.    , 0.    ,\n",
       "        0.    , 0.    , 0.    , 0.    , 0.    ]),\n",
       " 'stock portfolio': {'std': 0.073276, 'mean': 0.041935},\n",
       " 'Bond + Stock weights': {'Bond': 0.5337, 'Stock': 0.4663},\n",
       " 'Total portfolio': {'std': 0.03417, 'mean': 0.02}}"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "optimal_weights(MU, COV, Rf=Rf, w_max=1, desired_mean=0.02, desired_std=None)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "    Compute the optimal weights for a portfolio containing a risk free asset and stocks.\n",
      "    MU = vector of mean\n",
      "    COV = covariance matrix\n",
      "    Rf = risk free return\n",
      "    w_max = maximum weight bound for the stock portfolio\n",
      "    desired_mean = desired mean of the portfolio\n",
      "    desired_std = desired standard deviation of the portfolio\n",
      "    \n"
     ]
    }
   ],
   "source": [
    "print(optimal_weights.__doc__)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this function I also introduced the possibility to give an upperbound to the weights:\n",
    "\n",
    "$$0 \\leq \\boldsymbol w \\leq w_{max}$$\n",
    "\n",
    "Let us try it. We can see that although there is more diversification, the introduction of this bound reduced the Sharpe ratio."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "`gtol` termination condition is satisfied.\n",
      "\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "{'Sharpe Ratio': 0.46269725666071015,\n",
       " 'stock weights': array([2.000e-01, 2.000e-01, 1.981e-01, 1.000e-04, 2.000e-01, 1.400e-03,\n",
       "        0.000e+00, 4.000e-04, 1.997e-01, 1.000e-04, 0.000e+00, 1.000e-04,\n",
       "        1.000e-04]),\n",
       " 'stock portfolio': {'std': 0.080421, 'mean': 0.038044},\n",
       " 'Bond + Stock weights': {'Bond': 0.4849, 'Stock': 0.5151},\n",
       " 'Total portfolio': {'std': 0.041424, 'mean': 0.02}}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "bounded_porf = optimal_weights(MU, COV, Rf=Rf, w_max=0.2, desired_mean=0.02, desired_std=None)\n",
    "display(bounded_porf)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Bounded Weights = \n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
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       "\n",
       "    .dataframe tbody tr th {\n",
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       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>AAPL</th>\n",
       "      <th>AMZN</th>\n",
       "      <th>GOOGL</th>\n",
       "      <th>JPM</th>\n",
       "      <th>GLD</th>\n",
       "      <th>DIS</th>\n",
       "      <th>VNO</th>\n",
       "      <th>FB</th>\n",
       "      <th>UBS</th>\n",
       "      <th>KO</th>\n",
       "      <th>MCD</th>\n",
       "      <th>^GSPC</th>\n",
       "      <th>GM</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.2</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.1981</td>\n",
       "      <td>0.0001</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.0014</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0004</td>\n",
       "      <td>0.1997</td>\n",
       "      <td>0.0001</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0001</td>\n",
       "      <td>0.0001</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   AAPL  AMZN   GOOGL     JPM  GLD     DIS  VNO      FB     UBS      KO  MCD  \\\n",
       "0   0.2   0.2  0.1981  0.0001  0.2  0.0014  0.0  0.0004  0.1997  0.0001  0.0   \n",
       "\n",
       "    ^GSPC      GM  \n",
       "0  0.0001  0.0001  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "print(\"Bounded Weights = \")\n",
    "display(pd.DataFrame([dict(zip(data.columns, bounded_porf[\"stock weights\"].round(4)))]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id='sec4'></a>\n",
    "## Optimization with cvxpy\n",
    "\n",
    "The code of this section follows closely the example given in the [cvxpy website](https://colab.research.google.com/github/cvxgrp/cvx_short_course/blob/master/applications/portfolio_optimization.ipynb#scrollTo=--osR2je4bDI).     \n",
    "CVXPY uses a better solver, which as we will see it is much faster. It is also very easy to use.\n",
    "\n",
    "Here I also present an alternative and equivalent formulation of the problem:\n",
    "\n",
    "$$  \\max_{\\mathbf w} \\; \\boldsymbol \\mu^T \\mathbf w  - \\lambda \\, \\mathbf w^T \\mathbf \\Sigma \\, \\mathbf w \\quad \\text{subject to } \\quad \\mathbf w^T \\mathbf 1 = 1 \\quad \\text{and} \\quad \\boldsymbol w \\geq 0. $$\n",
    "\n",
    "where $\\lambda > 0$ represents the risk aversion coefficient of the investor. \n",
    "The choice of a positive lambda follows the common requirement to describe a risk-averse investor.     \n",
    "For $\\lambda \\to 0$, the investor tends to be more **risk-neutral**. For $\\lambda \\to \\infty$ the investor is very risk-averse and the optimal portfolio converges to the **minimum variance portfolio** i.e. the portfolio with the least variance.     \n",
    "\n",
    "From a mathematical point of view, this formulation corresponds to a problem where we want to maximize the expected return $ \\boldsymbol \\mu^T \\mathbf w$ for a fixed variance level $v = \\mathbf w^T \\mathbf \\Sigma \\, \\mathbf w$ plus the other constraints. \n",
    "We can introduce the **Lagrange multiplier** $\\lambda$ such that the objective function becomes $\\boldsymbol \\mu^T \\mathbf w  - \\lambda \\, (\\mathbf w^T \\mathbf \\Sigma \\, \\mathbf w - v)$, which is equivalent to the initial problem (since $v$ is just a constant and does not affect the weights)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "w = cp.Variable(N)  # weights\n",
    "gamma = cp.Parameter(nonneg=True)\n",
    "ret = MU @ w  # portfolio return\n",
    "risk = cp.quad_form(w, COV)  # portfolio variance\n",
    "objective = cp.Maximize(ret - gamma * risk)  # objective function\n",
    "constraints = [cp.sum(w) == 1, w >= 0]\n",
    "prob = cp.Problem(objective, constraints)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now I replicate the results of the previous section.\n",
    "\n",
    "I run compute the optimal portfolio for seveal values of risk aversion $\\gamma$, that is equivalent to optimize for several values of portfolio standard deviations. The resulting curve is again the **efficient frontier**, where each point corresponds to a value of $\\gamma$.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Compute efficient frontier.\n",
    "samples = 500\n",
    "std_values = np.zeros(samples)\n",
    "mean_values = np.zeros(samples)\n",
    "sharpe_ratio = np.zeros(samples)\n",
    "gamma_vals = np.logspace(0, 4, num=samples)  # several levels of risk aversion\n",
    "portfolios = []\n",
    "for i in range(samples):\n",
    "    gamma.value = gamma_vals[i]\n",
    "    prob.solve()\n",
    "    std_values[i] = cp.sqrt(risk).value\n",
    "    mean_values[i] = ret.value\n",
    "    sharpe_ratio[i] = (mean_values[i] - Rf) / std_values[i]\n",
    "    portfolios.append(w.value)\n",
    "\n",
    "ind_SR = np.argmax(sharpe_ratio)  # index of the maximum Sharpe Ratio\n",
    "max_SR = sharpe_ratio[ind_SR]  # maximum Sharpe ratio\n",
    "y = np.linspace(0, std_values.max(), samples)\n",
    "CML = Rf + max_SR * y  # capital market line"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Plot: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(15, 5))\n",
    "ax1 = fig.add_subplot(111)\n",
    "ax1.plot(std_values, mean_values, \"g-\", label=\"Efficient Frontier\")\n",
    "ax1.plot(\n",
    "    std_values[ind_SR],\n",
    "    mean_values[ind_SR],\n",
    "    \"rs\",\n",
    "    label=r\"Tangent portfolio, $\\gamma = {:.2f}$\".format(gamma_vals[ind_SR]),\n",
    ")\n",
    "ax1.plot(y, CML, label=f\"Capital Market Line, sharpe ratio = {max_SR.round(4)}\")\n",
    "for i in range(N):\n",
    "    ax1.plot(cp.sqrt(COV[i, i]).value, MU[i], \"o\", color=\"goldenrod\")\n",
    "    ax1.annotate(f\"{data.columns[i]}\", (cp.sqrt(COV[i, i]).value, MU[i]))\n",
    "ax1.legend(loc=\"upper left\")\n",
    "ax1.set_xlabel(\"Standard deviation\")\n",
    "ax1.set_ylabel(\"Return\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Weights:\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>AAPL</th>\n",
       "      <th>AMZN</th>\n",
       "      <th>GOOGL</th>\n",
       "      <th>JPM</th>\n",
       "      <th>GLD</th>\n",
       "      <th>DIS</th>\n",
       "      <th>VNO</th>\n",
       "      <th>FB</th>\n",
       "      <th>UBS</th>\n",
       "      <th>KO</th>\n",
       "      <th>MCD</th>\n",
       "      <th>^GSPC</th>\n",
       "      <th>GM</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.48551</td>\n",
       "      <td>0.04903</td>\n",
       "      <td>-0.0</td>\n",
       "      <td>-0.0</td>\n",
       "      <td>0.46546</td>\n",
       "      <td>-0.0</td>\n",
       "      <td>-0.0</td>\n",
       "      <td>-0.0</td>\n",
       "      <td>-0.0</td>\n",
       "      <td>-0.0</td>\n",
       "      <td>-0.0</td>\n",
       "      <td>-0.0</td>\n",
       "      <td>-0.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      AAPL     AMZN  GOOGL  JPM      GLD  DIS  VNO   FB  UBS   KO  MCD  ^GSPC  \\\n",
       "0  0.48551  0.04903   -0.0 -0.0  0.46546 -0.0 -0.0 -0.0 -0.0 -0.0 -0.0   -0.0   \n",
       "\n",
       "    GM  \n",
       "0 -0.0  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "gamma= 3.8474265772585037\n",
      "Sharpe Ratio =  0.5609197942924549\n",
      "Standard Deviation and mean of the portfolio 0.073067 0.041818\n"
     ]
    }
   ],
   "source": [
    "print(\"Weights:\")\n",
    "display(pd.DataFrame([dict(zip(data.columns, portfolios[ind_SR].round(5)))]))\n",
    "print(\"gamma=\", gamma_vals[ind_SR])\n",
    "print(\"Sharpe Ratio = \", max_SR)\n",
    "print(\"Standard Deviation and mean of the portfolio\", std_values[ind_SR].round(6), mean_values[ind_SR].round(6))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id='sec5'></a>\n",
    "## Probability density of the tangency portfolio\n",
    "\n",
    "What if we want to compute some probabilities? For instance the probability of losing money e.g. $\\mathbb{P}(R^P < x)$ ?\n",
    "\n",
    "Well, we do not have a closed form for the density of the portfolio. Since each $R^i$ is log-normal, then $\\sum_i w_i R^i$ is not a log-normal.      \n",
    "You can see here [wiki-related distribution](https://en.wikipedia.org/wiki/Log-normal_distribution#Related_distributions) that the sum of independent LN random variables is approximately log-normal, but not exactly log-normal. In our case the variables are correlated.\n",
    "\n",
    "We can use Monte Carlo to simulate many LN linear returns and compute the empirical density of the portfolio.\n",
    "It is convenient, in order to obtain a smooth density, to work with the **Gaussian Kernel density estimation** [KDE](Kernel density estimation). \n",
    "\n",
    "Let us generate some multivariate log-normal (LN) random variables $R_T = \\frac{S_0e^{X_T}-S_0}{S_0}$, starting from the knowledge of the multivariate normal random variables $X_T$. We previously computed the monthly mean and covariance of $X_T$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(seed=42)\n",
    "LN_ret = np.exp(ss.multivariate_normal.rvs(mean=mu_log, cov=cov_log, size=50000)) - 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_prob(LN_ret, w, lower_value):\n",
    "    \"\"\"Probability density of the optimal portfolio\n",
    "    LN_ret = simulated log-returns. MxN matrix\n",
    "    w = weights vector Nx1 vector\n",
    "    lower_value = the maximum loss we are considering\n",
    "    \"\"\"\n",
    "    if LN_ret.shape[1] != w.shape[0]:\n",
    "        raise ValueError\n",
    "\n",
    "    MU_simul = LN_ret.mean(axis=0)  # mean of the linear returns (equal to MU)\n",
    "    COV_simul = np.cov(LN_ret, rowvar=False)  # covariance matrix   (equal to COV)\n",
    "    Opt_portfolios = LN_ret @ w  # portfolio linear returns\n",
    "    mu_port = MU_simul @ w  # portfolio mean\n",
    "    sig_port = np.sqrt(w @ COV_simul @ w)  # portfolio standard deviation\n",
    "\n",
    "    x = np.linspace(Opt_portfolios.min(), Opt_portfolios.max(), 500)\n",
    "    kde = ss.gaussian_kde(Opt_portfolios)\n",
    "    normal = ss.norm(loc=mu_port, scale=sig_port)\n",
    "\n",
    "    fig = plt.figure(figsize=(15, 5))\n",
    "    plt.plot(\n",
    "        x,\n",
    "        kde.evaluate(x),\n",
    "        color=\"salmon\",\n",
    "        label=\"KDE, loss prob={:.4f}\".format(kde.integrate_box_1d(-np.inf, lower_value)),\n",
    "    )\n",
    "    plt.plot(x, normal.pdf(x), label=\"Normal, loss prob={:.4f}\".format(normal.cdf(lower_value)))\n",
    "    plt.axvline(x=lower_value, color=\"grey\", linestyle=\"--\", lw=2, label=\"Maximum loss\")\n",
    "    plt.axvline(x=mu_port, color=\"green\", linestyle=\"--\", lw=1, label=\"Portfolio mean return\")\n",
    "    plt.axvline(x=mu_port - sig_port, color=\"orange\", linestyle=\"--\", lw=1, label=r\"$\\pm$ standard deviation\")\n",
    "    plt.axvline(x=mu_port + sig_port, color=\"orange\", linestyle=\"--\", lw=1)\n",
    "    plt.title(\"Probability density of the portfolio returns\")\n",
    "    plt.xlabel(\"Return\")\n",
    "    plt.ylabel(\"Density\")\n",
    "    plt.legend(loc=\"upper right\")\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_prob(LN_ret=LN_ret, w=w_sr, lower_value=-0.09)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Comment: \n",
    "\n",
    "- We can see that the two curves are not so different. This is because 1 month is still a small interval of time, and therefore the linear returns are approximately distributed like the log-returns (Normally distributed) and the sum of Normal distributed random variables is Normal. \n",
    "For a bigger time interval e.g. 1 year, the two curves become very very different.\n",
    "\n",
    "- The loss probability in the plot is the probability of losing more than the Maximum loss value i.e. $\\mathbb{P}(R^P < -0.9)$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id='sec6'></a>\n",
    "## Short positions - closed formula\n",
    "\n",
    "If are allowed to take short positions, we can remove the bound $\\boldsymbol w \\geq 0$ and the problem becomes:\n",
    "\n",
    "$$  \\min_{\\mathbf w} \\; \\mathbf w^T \\mathbf \\Sigma \\, \\mathbf w \\quad \\text{subject to } \\quad \\boldsymbol \\mu^T \\mathbf w = \\mu^P, \\quad \\mathbf w^T \\mathbf 1 = 1. $$\n",
    "\n",
    "Following [3] we can compute the weights and the efficient frontier in closed form.\n",
    "\n",
    "We can define the following new variables: \n",
    "\n",
    "$$ \\boldsymbol{\\Omega} = \\boldsymbol{\\Sigma}^{-1}, \\quad A = \\boldsymbol{1}^T \\boldsymbol{\\Omega} \\boldsymbol{\\mu}, \n",
    "\\quad B = \\boldsymbol{\\mu}^T \\boldsymbol{\\Omega} \\boldsymbol{\\mu}, \\quad C = \\boldsymbol{1}^T \\boldsymbol{\\Omega} \\boldsymbol{1}, \\quad D = B\\,C - A^2. \n",
    "$$\n",
    "\n",
    "The weights have the following **closed expression**:\n",
    "\n",
    "$$ \\boldsymbol{w} = \\frac{\\mu^P \\boldsymbol{\\Omega} \\bigl(C \\boldsymbol{\\mu} - A \\bigr) + \n",
    "\\boldsymbol{\\Omega} \\bigl( B-A\\boldsymbol{\\mu} \\bigr) }{D}.  $$\n",
    "\n",
    "The **efficient frontier** is a **parabola** with the following equation:\n",
    "\n",
    "$$ \\bigl(\\sigma^P \\bigr)^2 = \\frac{ C \\bigl(\\mu^P \\bigr)^2 - 2A \\mu^P + B}{D}. $$\n",
    "\n",
    "It is good to check that the covariance matrix is full rank before the inversion."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The rank of the covariance matrix is: 13\n",
      "The shape of the covariance matrix is: (13, 13)\n"
     ]
    }
   ],
   "source": [
    "print(\"The rank of the covariance matrix is:\", np.linalg.matrix_rank(COV))\n",
    "print(\"The shape of the covariance matrix is:\", COV.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "Omega = np.linalg.inv(COV)\n",
    "A = np.ones(N) @ Omega @ MU\n",
    "B = MU @ Omega @ MU\n",
    "C = Omega.sum()\n",
    "D = B * C - A**2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "target_mu = 0.1\n",
    "weights_th = (target_mu * Omega @ (C * MU - A) + Omega @ (B - MU * A)) / D  # theoretical weights"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Theoretical weights:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
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       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>AAPL</th>\n",
       "      <th>AMZN</th>\n",
       "      <th>GOOGL</th>\n",
       "      <th>JPM</th>\n",
       "      <th>GLD</th>\n",
       "      <th>DIS</th>\n",
       "      <th>VNO</th>\n",
       "      <th>FB</th>\n",
       "      <th>UBS</th>\n",
       "      <th>KO</th>\n",
       "      <th>MCD</th>\n",
       "      <th>^GSPC</th>\n",
       "      <th>GM</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1.2458</td>\n",
       "      <td>0.3685</td>\n",
       "      <td>0.5282</td>\n",
       "      <td>0.5597</td>\n",
       "      <td>0.9733</td>\n",
       "      <td>0.1442</td>\n",
       "      <td>-0.2223</td>\n",
       "      <td>-0.272</td>\n",
       "      <td>0.4089</td>\n",
       "      <td>0.1547</td>\n",
       "      <td>-0.1562</td>\n",
       "      <td>-2.9257</td>\n",
       "      <td>0.193</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     AAPL    AMZN   GOOGL     JPM     GLD     DIS     VNO     FB     UBS  \\\n",
       "0  1.2458  0.3685  0.5282  0.5597  0.9733  0.1442 -0.2223 -0.272  0.4089   \n",
       "\n",
       "       KO     MCD   ^GSPC     GM  \n",
       "0  0.1547 -0.1562 -2.9257  0.193  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display(pd.DataFrame([dict(zip(data.columns, weights_th.round(4)))]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Numerical weights:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>AAPL</th>\n",
       "      <th>AMZN</th>\n",
       "      <th>GOOGL</th>\n",
       "      <th>JPM</th>\n",
       "      <th>GLD</th>\n",
       "      <th>DIS</th>\n",
       "      <th>VNO</th>\n",
       "      <th>FB</th>\n",
       "      <th>UBS</th>\n",
       "      <th>KO</th>\n",
       "      <th>MCD</th>\n",
       "      <th>^GSPC</th>\n",
       "      <th>GM</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1.2458</td>\n",
       "      <td>0.3685</td>\n",
       "      <td>0.5282</td>\n",
       "      <td>0.5597</td>\n",
       "      <td>0.9733</td>\n",
       "      <td>0.1442</td>\n",
       "      <td>-0.2223</td>\n",
       "      <td>-0.272</td>\n",
       "      <td>0.4089</td>\n",
       "      <td>0.1547</td>\n",
       "      <td>-0.1562</td>\n",
       "      <td>-2.9257</td>\n",
       "      <td>0.193</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     AAPL    AMZN   GOOGL     JPM     GLD     DIS     VNO     FB     UBS  \\\n",
       "0  1.2458  0.3685  0.5282  0.5597  0.9733  0.1442 -0.2223 -0.272  0.4089   \n",
       "\n",
       "       KO     MCD   ^GSPC     GM  \n",
       "0  0.1547 -0.1562 -2.9257  0.193  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display(pd.DataFrame([dict(zip(data.columns, optimizer(MU, COV, target_mu, False).round(4)))]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Let us compute the efficient frontier"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "samples = 50\n",
    "means = np.linspace(-0.1, 0.17, samples)  # vector of target expected returns\n",
    "stds = np.zeros_like(means)\n",
    "\n",
    "for i, mn in enumerate(means):\n",
    "    w_opt = optimizer(MU, COV, mn, OnlyLong=False)  # optimal weights\n",
    "    stds[i] = np.sqrt(w_opt @ COV @ w_opt)  # std of the portfolio"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1500x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(15, 6))\n",
    "y = np.linspace(-0.1, 0.2, 400)\n",
    "x = np.linspace(0, 0.23, samples)\n",
    "y, x = np.meshgrid(x, y)\n",
    "CS = plt.contour(y, x, y**2 - (C * x**2 - 2 * A * x + B) / D, [0], colors=\"k\", alpha=0.7)\n",
    "plt.clabel(CS, inline=1, fontsize=10)\n",
    "CS.collections[0].set_label(\"Theoretical efficient frontier\")\n",
    "plt.scatter(stds, means, linewidths=0.1, color=\"green\", label=\"Numerical efficient Frontier\")\n",
    "for i in range(N):\n",
    "    plt.plot(cp.sqrt(COV[i, i]).value, MU[i], \"o\", color=\"goldenrod\")\n",
    "    plt.annotate(f\"{data.columns[i]}\", (cp.sqrt(COV[i, i]).value, MU[i]))\n",
    "plt.xlim([0.03, 0.19])\n",
    "plt.legend(loc=\"upper left\")\n",
    "plt.title(\"Efficient frontier - Short positions allowed\")\n",
    "plt.xlabel(\"Standard deviation\")\n",
    "plt.ylabel(\"Return\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## References\n",
    "\n",
    "[1] Attilio Meucci (2005) *Risk and asset allocation*. \n",
    "\n",
    "[2] D. Ruppert, D. Matteson (2015) *Statistics and Data analysis for financial engineering*\n",
    "\n",
    "[3] Robert Merton (1970) *An analytical derivation of the efficient portfolio frontier*"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
